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Finding the Third Proportional to 20,898.31 and 45,205.28

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Solution

The third proportional to 20,898.31 and 45,205.28 is: 97,783.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,898.31 : 45,205.28 = 45,205.28 : x
  2. Step 2: Convert to fraction form
    20,898.31/45,205.28 = 45,205.28/x
  3. Step 3: Cross multiply
    20,898.31x = 45,205.28 × 45,205.28
  4. Step 4: Simplify right side
    20,898.31x = 2,043,517,452.89
  5. Step 5: Solve for x
    x = 2,043,517,452.89/20,898.31
  6. Step 6: Final answer
    x = 97,783.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.